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143100145134 = 23219231827859
BaseRepresentation
bin1000010101000101101…
…1101110110111101110
3111200100220011120101100
42011101123232313232
54321032114121014
6145423404423530
713224104110212
oct2052133566756
9450326146340
10143100145134
1155763335061
1223897b47ba6
1310656c3b0bb
146cd7262942
153ac7e98009
hex21516eedee

143100145134 has 144 divisors (see below), whose sum is σ = 338585495040. Its totient is φ = 43628064480.

The previous prime is 143100145117. The next prime is 143100145147. The reversal of 143100145134 is 431541001341.

143100145134 is a `hidden beast` number, since 1 + 43 + 100 + 1 + 4 + 513 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 143100145098 and 143100145107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 166588797 + ... + 166589655.

It is an arithmetic number, because the mean of its divisors is an integer number (2351288160).

Almost surely, 2143100145134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143100145134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169292747520).

143100145134 is an abundant number, since it is smaller than the sum of its proper divisors (195485349906).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

143100145134 is a wasteful number, since it uses less digits than its factorization.

143100145134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 143100145134 its reverse (431541001341), we get a palindrome (574641146475).

The spelling of 143100145134 in words is "one hundred forty-three billion, one hundred million, one hundred forty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 361 558 589 722 827 859 1083 1178 1654 1718 1767 2166 2481 2577 3249 3534 4962 5154 5301 6498 7443 7731 10602 11191 14886 15462 15713 16321 22382 25637 26629 31426 32642 33573 47139 48963 51274 53258 67146 76911 79887 94278 97926 100719 141417 146889 153822 159774 201438 230733 239661 282834 293778 298547 310099 461466 479322 487103 505951 597094 620198 710393 895641 930297 974206 1011902 1420786 1461309 1517853 1791282 1860594 2131179 2686923 2790891 2922618 3035706 4262358 4383927 4553559 5373846 5581782 6393537 8767854 9107118 9254957 9613069 12787074 13497467 18509914 19226138 22022183 26994934 27764871 28839207 40492401 44044366 55529742 57678414 66066549 80984802 83294613 86517621 121477203 132133098 166589226 173035242 198199647 242954406 256451873 396399294 418421477 512903746 769355619 836842954 1255264431 1538711238 2308066857 2510528862 3765793293 4616133714 7531586586 7950008063 15900016126 23850024189 47700048378 71550072567 143100145134